Greatest Common Factor of 408/38, 266/917

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 408/38, 266/917

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 408/38,266/917

Given fractions are 408/38,266/917

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 408,266

Greatest Common Factor of Numerators i.e. GCF of 408,266 is 2 .

LCM of Denominators means LCM of 38,917 as per the given fractions.

LCM of 38,917 is 34846 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 408,266

GCF of Fractions 408/38,266/917 is 2/34846

2 408, 266
204, 133

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 408,266 By Matching Biggest Common Factor Method

Greatest Common Factor of 408,266 By Matching Biggest Common Factor Method

Factors of 408

List of positive integer factors of 408 that divides 408 without a remainder.

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408

Factors of 266

List of positive integer factors of 266 that divides 266 without a remainder.

1,2,7,14,19,38,133,266

Greatest Common Factor

We found the factors 408,266 . The biggest common factor number is the GCF number.
So the greatest common factor 408,266 is 2.

Lets's calculate LCM of 38,917

Given numbers has no common factors except 1. So, there LCM is their product i.e 34846

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/34846

Therefore, the GCF of Fractions 408/38,266/917 is 2/34846

Least Common Multiple of 38,917 with GCF Formula

Least Common Multiple of 38,917 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 38,917 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,917) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(38,917) x common factors =1 x 1 = 1

LCM(38,917) = ( 38 × 917 ) / 1

LCM(38,917) = 34846 / 1

LCM(38,917) = 34846


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 408/38, 266/917

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 408/38, 266/917?

Answer: GCF of Numerators as per given numbers 408/38, 266/917 is

GCF of Numerators i.e. for 408,266 is 2

LCM of denominators i.e. for 38,917 is 34846.

Thus, GCF of Fractions is 2/34846.Finally, GCF of Fractions for 408/38, 266/917 is 2/34846.